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Can we have a rotational symmetry of ord...

Can we have a rotational symmetry of order more than 1 whose angle of rotation is
(i) `45^@` (ii) `17^@`

Text Solution

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An object when rotated in a particular direction, around a point, it is known as rotational symmetry,
Similarly, rotational symmetry exists when the turned shape is identical to the origin.
If the given angle is a factor of `360°,` then the figure will have rotational symmetry .
(i) `45°` is a factor of `360°,` so the figure will have rotational
symmetry of order more than `1` and there would be `8` rotations.
(ii) 17° is not a factor of 360°, so the figure will not have
rotational symmetry of order of more than 1.
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